Yes, all rooms have refrigerators on the Spirit. The steward has to unlock it when you embark because it is filled with liquor and snacks. I just put that stuff away in another cabinet, (my steward didn't offer to take it away), and used the 'frig' as I needed. It is small however!
When I cruised on the Pride I had the steward remove the stuff from the fridge and she did after acquiring a bit of a pickle face ....... I like the idea of just taking it out myself and letting them know Im moving it and to not restock it or charge me for it.